Search a number
-
+
30219870 = 2354179311
BaseRepresentation
bin111001101000…
…1111001011110
32002212022212110
41303101321132
530214013440
62555414450
7514602402
oct163217136
962768773
1030219870
11160706aa
12a154426
1363510a5
144029102
1529be080
hex1cd1e5e

30219870 has 64 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 7737600.

The previous prime is 30219857. The next prime is 30219887. The reversal of 30219870 is 7891203.

30219870 = 552 + 562 + ... + 4492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97015 + ... + 97325.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 230219870 is an apocalyptic number.

30219870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30219870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

30219870 is an abundant number, since it is smaller than the sum of its proper divisors (45259170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30219870 is a wasteful number, since it uses less digits than its factorization.

30219870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 30219870 is about 5497.2602266947. The cubic root of 30219870 is about 311.4805005370.

The spelling of 30219870 in words is "thirty million, two hundred nineteen thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 79 82 123 158 205 237 246 311 395 410 474 615 622 790 933 1185 1230 1555 1866 2370 3110 3239 4665 6478 9330 9717 12751 16195 19434 24569 25502 32390 38253 48585 49138 63755 73707 76506 97170 122845 127510 147414 191265 245690 368535 382530 737070 1007329 2014658 3021987 5036645 6043974 10073290 15109935 30219870